You are provided with a hollow iron ball $A$ of volume $15 c m^{3}$ mass $12 g$ and a solid iron ball $B$ of mass $12 g$ . Both are placed on the surface of water contained in a large tub.Find upthrust on each ball.

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Solution

Mass of ball $A = 12 g$
Mass of ball $B = 12 g$
Density of iron $= 8 g c m^{3}$
Volume of the hollow iron ball $A = 15 c m^{3}$
Volume of the hollow iron ball $B =$ Mass/ density $= 12 / 8 = 1.5 c m^{- 3}$
To find the upthrust on ball $A$ and $B$
Upthrust on ball $A =$ volume of iron ball $A \times$ density of water $\times g$
$= 15 \times 1 \times g = 15 g f$
Upthrust on ball $B =$ volume of iron ball $B \times$ density of water $\times g$
$= 1.5 \times 1 \times g = 1.5 g f$

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You are provided with a hollow iron ball A of volume 15cm3 mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub.Find upthrust on each ball.

You are provided with a hollow iron ball $A$ of volume $15 c m^{3}$ mass $12 g$ and a solid iron ball $B$ of mass $12 g$ . Both are placed on the surface of water contained in a large tub.Find upthrust on each ball.